Robust H2 output feedback control for a class of time-delay systems

  • Magdi S. Mahmoud
  • , Yan Shi
  • , Fouad M. Al-Sunni

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

In this paper, the problem of designing an H2 output feedback controller for a class of uncertain systems with time-varying delays is investigated. These systems are evolve in the continuous-time space against a wide class of parametric uncertainties which belong to a convex bounded polytopic domain. The objective is to derive tractable synthesis conditions for the robust feedback design. Two design methods are established: the first uses bounds on the delay pattern and the second utilizes instantaneous delay measurements. All the developed results are cast in the format of linear matrix inequalities (LMIs) and numerical examples are presented.

Original languageEnglish
Pages (from-to)3247-3257
Number of pages11
JournalInternational Journal of Innovative Computing, Information and Control
Volume4
Issue number12
StatePublished - Dec 2008

Bibliographical note

Funding Information:
ACKNOWLEDGMENTS This study was funded by the New Mexico Interstate Stream Commission. We thank Bhasker Rao, Sara Rhoton, Steve Carothers, and Claudia Oakes for their continued support and early reviews of the manuscript. We also thank the many who helped with field work, especially Joseph Fluder, John Sigler, Peter Castiglia, Craig Ellsworth, and L.B. Myers. We appreciate issuance of scientific collecting permits from the New Mexico Department of Game and Fish and the U.S. Fish and Wildlife Service. This paper represents the views of the authors and not necessarily those of any aforementioned agency or group.

Keywords

  • Convex polytopic uncertainties
  • H control
  • LMIs
  • Output feedback control
  • Time-delay systems

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Information Systems
  • Computational Theory and Mathematics

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